Home
Class 11
MATHS
If 4bar(i)+7bar(j)+8bar(k), 2bar(i)+3bar...

If `4bar(i)+7bar(j)+8bar(k), 2bar(i)+3bar(j)+4bar(k), 2bar(i)+5bar(j)+7bar(k)` are the P.V.'s of the vertices A, B, C of a `DeltaABC`. The P.V. of the point where the bisector of `angleA` meets BC is

A

`2/3(-6bar(i)-8bar(j)-6bar(k))`

B

`2/3(6bar(i)+8bar(j)+6bar(k))`

C

`1/3(6bar(i)+13bar(j)+18bar(k))`

D

`4bar(i)+7bar(j)+8bar(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - II|77 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k), 4bar(i)+5bar(j)+bar(k) , then the P.V. of the incentre of DeltaABC is

If 2bar(i)+3bar(j)+5bar(k), 2bar(i)+4bar(j)+5bar(k) and 2bar(i)+4bar(j)+7bar(k) are the vertices of DeltaABC , then its circum-centre is

If bar(OP)=2bar(i)+3bar(j)-bar(k), bar(OQ)=3bar(i)-4bar(j)+2bar(k) then d.c's of bar(PQ) are

If bar(a)=bar(i)+4bar(j), bar(b)=2bar(i)-3bar(j) and bar(c)=5bar(i)+9bar(j)" then "bar(c)=

Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-bar(k)] .

If bar(a) = bar(i) + 2bar(j) + 3bar(k), bar(b) = 3bar(i) +5bar(j) -bar(k) are 2 sides of a triangle, find its area.

The points with P.V's bar(i)+2bar(j)+bar(k), 2bar(i)+3bar(j)+4bar(k) and 4bar(i)+5bar(j)+10bar(k) form

Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k) .

If the P.V.'s of A, B, C are 3bar(i)+4bar(j)-6bar(k), 4bar(i)-6bar(j)+3bar(k) and -6bar(i)+3bar(j)+4bar(k) then the incentre of DeltaABC is

AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
  1. If the position vectors of three consecutive vertices of a parallelogr...

    Text Solution

    |

  2. A set of vectors bar(a)(1), bar(a)(2), ………, bar(a)(n) is said to linea...

    Text Solution

    |

  3. If 4bar(i)+7bar(j)+8bar(k), 2bar(i)+3bar(j)+4bar(k), 2bar(i)+5bar(j)+7...

    Text Solution

    |

  4. If A=(1, 1, 1), B=(1, 2, 3), C=(2, -1, 1) be the vertices of a DeltaAB...

    Text Solution

    |

  5. If A is the point bar(a)+2bar(b), P is the point bar(a) and P devides ...

    Text Solution

    |

  6. The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+...

    Text Solution

    |

  7. In a DeltaOAB, E is the mid point of OB and D is a point in AB such th...

    Text Solution

    |

  8. If 2bar(i)+3bar(j)+5bar(k), 2bar(i)+4bar(j)+5bar(k) and 2bar(i)+4bar(j...

    Text Solution

    |

  9. The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k),...

    Text Solution

    |

  10. In a DeltaABC, P.V.'s of A, mid-point of BC are bar(i)+2bar(j)+3bar(k)...

    Text Solution

    |

  11. If G is the centroid of DeltaABC then bar(GA)+bar(GB)+bar(GC)=

    Text Solution

    |

  12. If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...

    Text Solution

    |

  13. If D, E are the midpoints of AB, AC of Delta ABC, then vec(B)E + vec(D...

    Text Solution

    |

  14. If D is the midpoint of the side BC of a triangle ABC then bar(AB)^(2)...

    Text Solution

    |

  15. Find the area of the parallelogram whose adjacent sides are bar(a) = 2...

    Text Solution

    |

  16. If the diagonals of a parallelogram are bar(i)+5bar(j)-2bar(k) and -2b...

    Text Solution

    |

  17. Let bar(a), bar(b), bar(c), bar(d) be the position vectors of A, B, C ...

    Text Solution

    |

  18. If bar(a), bar(b) represent bar(AB), bar(BC) respectively of a regular...

    Text Solution

    |

  19. When a right handed rectangular cartesian system oxyz is rotated about...

    Text Solution

    |

  20. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

    Text Solution

    |